Suppose that a and b are integers, a ≡ 7 (mod 19), and b ≡ 5 (mod 19), Find the integer c with 0 ≤ c ≤ 18 such that: 12. (a − b) ≡ c mod 19 13. (7a + 3b) ≡ c mod 19 14. (2a2 + 3b2) ≡ c mod 19
Suppose that a and b are integers, a ≡ 7 (mod 19), and b ≡ 5 (mod 19), Find the integer c with 0 ≤ c ≤ 18 such that: 12. (a − b) ≡ c mod 19 13. (7a + 3b) ≡ c mod 19 14. (2a2 + 3b2) ≡ c mod 19
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that a and b are integers, a ≡ 7 (mod 19), and b ≡ 5 (mod 19), Find the integer c with 0 ≤ c ≤ 18 such that:
12. (a − b) ≡ c mod 19
13. (7a + 3b) ≡ c mod 19
14. (2a2 + 3b2) ≡ c mod 19
15. (a3 + 4b3) ≡ c mod 19
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